87959 - Relativistic Quantum Mechanics and Path Integrals

Learning outcomes

At the end of the course the student will learn the basic elements of the Klein-Gordon and Dirac equations, and the path integral formulation of quantum mechanics. The student will be familiar with the use of the Klein-Gordon and Dirac equations for the description of relativistic particles of spin 0 and 1/2 and will be able to master the path integral for setting up the perturbative expansions of interacting theories.

Course contents

Group theory and the Lorentz group

Mechanics of relativistic particles

Klein-Gordon equation

Dirac equation

Other relativistic wave equations

Path integrals

Readings/Bibliography

Lecture notes, available on Virtuale.

Suggested books for further study:

Bjorken and Drell, Relativistic Quantum Mechanics.

Itzykson and Zuber, Quantum Field Theory.

Teaching methods

Lectures at the blackboard

Assessment methods

Oral Examination – Approximate duration: 30 minutes The oral examination typically consists of two general questions covering topics discussed during the course. Students are expected to engage in a thorough and critical discussion. The final grade will be based on the accuracy and clarity of the presentation, the ability to construct well-reasoned arguments and analyses, and the capacity to address and clarify conceptually relevant aspects.

Students with Specific Learning Disabilities (SLD) or temporary/permanent disabilities are advised to contact the University Office responsible in a timely manner (https://site.unibo.it/studenti-con-disabilita-e-dsa/en ). The office will be responsible for proposing any necessary accommodations to the students concerned. These accommodations must be submitted to the instructor for approval at least 15 days in advance, and will be evaluated in light of the learning objectives of the course.

Office hours

See the website of Fiorenzo Bastianelli